Question

Find the expression that is equilvelent

Answer 1

For this case we have the following expression:
 -18a ^ -2b ^ 5 / -12a ^ -4b ^ -6
 For power properties we have:
 -18a ^ (- 2 - (- 4)) b ^ (5 - (- 6)) / - 12
 Rewriting we have:
 18a ^ (- 2 + 4) b ^ (5 + 6) / 12
 3a ^ (- 2 + 4) b ^ (5 + 6) / 2
 3a ^ 2b11 / 2
 Answer:
 3a ^ 2b11 / 2
 option 3

Answer 2

$\dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{18:6}{12:6}\cdot a^{-2-(-4)}b^{5-(-6)}=\dfrac{3}{2}\cdot a^{-2+4}b^{5+6}=\dfrac{3a^2b^{11}}{2}$


$Used:\\\\a^n:a^m=\dfrac{a^n}{a^m}=a^{n-m}$